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Finding the Fourth Proportional to 103,658.60, 155,520.77 and 37,097.25

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Solution

The fourth proportional to 103,658.60, 155,520.77 and 37,097.25 is: 55,657.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,658.60 : 155,520.77 = 37,097.25 : x
  2. Step 2: Convert to fraction form
    103,658.60/155,520.77 = 37,097.25/x
  3. Step 3: Cross multiply
    103,658.60x = 155,520.77 × 37,097.25
  4. Step 4: Simplify right side
    103,658.60x = 5,769,392,884.88
  5. Step 5: Solve for x
    x = 5,769,392,884.88/103,658.60
  6. Step 6: Final answer
    x = 55,657.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.